The Terrible Trio is a name that has been passed down to many people, each with their own take on what it meant. While originally inventors, they've been theives, rich kids looking for "fun", and even ritualistic industrialists who believed they were bringing good fortune to their business.
In one case, the beings literally became the Vulture, Fox, and Shark, they were impersonating through very supernatural means. In the end though, no matter what happened, they all turned to crime, and then they met Batman, and fell. Though for some reason, the Terrible Trio keep coming back.